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    Non-Newtonian Lubrication With the Convected Maxwell Model

    Source: Journal of Tribology:;1996:;volume( 118 ):;issue: 002::page 344
    Author:
    J. A. Tichy
    DOI: 10.1115/1.2831307
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In certain applications where the lubricant is subjected to rapidly changing conditions along its flowing path (such as an elastohydrodynamic contact), the time dependent nature of the lubricant may be significant. One of the simplest types of models to account for such fluid time dependence is the Maxwell model. The time derivative used in such a model must be written with respect to coordinates which translate and rotate with the fluid, or coordinates which deform with the fluid. Unfortunately, such derivatives greatly complicate problems and are rarely used, due to nonlinear coupling of stresses. An admissible formulation of the Maxwell viscoelastic fluid model using the convected derivative has been applied to lubrication flow. Using a regular perturbation in the Deborah number, with the conventional lubrication solution as the leading term, a solution can be obtained. Viscoelasticity may raise or lower pressure depending on combinations of surface slope and curvature.
    keyword(s): Lubrication , Fluids , Lubricants , Stress , Viscoelasticity , Viscoelastic fluids , Pressure AND Flow (Dynamics) ,
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      Non-Newtonian Lubrication With the Convected Maxwell Model

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    http://yetl.yabesh.ir/yetl1/handle/yetl/117733
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    contributor authorJ. A. Tichy
    date accessioned2017-05-08T23:51:45Z
    date available2017-05-08T23:51:45Z
    date copyrightApril, 1996
    date issued1996
    identifier issn0742-4787
    identifier otherJOTRE9-28519#344_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/117733
    description abstractIn certain applications where the lubricant is subjected to rapidly changing conditions along its flowing path (such as an elastohydrodynamic contact), the time dependent nature of the lubricant may be significant. One of the simplest types of models to account for such fluid time dependence is the Maxwell model. The time derivative used in such a model must be written with respect to coordinates which translate and rotate with the fluid, or coordinates which deform with the fluid. Unfortunately, such derivatives greatly complicate problems and are rarely used, due to nonlinear coupling of stresses. An admissible formulation of the Maxwell viscoelastic fluid model using the convected derivative has been applied to lubrication flow. Using a regular perturbation in the Deborah number, with the conventional lubrication solution as the leading term, a solution can be obtained. Viscoelasticity may raise or lower pressure depending on combinations of surface slope and curvature.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNon-Newtonian Lubrication With the Convected Maxwell Model
    typeJournal Paper
    journal volume118
    journal issue2
    journal titleJournal of Tribology
    identifier doi10.1115/1.2831307
    journal fristpage344
    journal lastpage348
    identifier eissn1528-8897
    keywordsLubrication
    keywordsFluids
    keywordsLubricants
    keywordsStress
    keywordsViscoelasticity
    keywordsViscoelastic fluids
    keywordsPressure AND Flow (Dynamics)
    treeJournal of Tribology:;1996:;volume( 118 ):;issue: 002
    contenttypeFulltext
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